Strings in RR Plane Wave Background at Finite Temperature

Abstract

We calculate the thermal partition function in the canonical ensemble for type IIB superstrings in the plane wave background with constant null R-R 5-form. The Hagedorn temperature is found to be higher than the corresponding value for strings in flat space. In the limit corresponding to the weakly coupled field theory we find that the Hagedorn temperature is pushed to infinity. The key property of strings in the plane wave background under investigation on which our result relies is that the effective mass of the bosonic and fermionic coordinates in the light-cone gauge is proportional to the momentum $p^{+}$. The free energy is finite as the Hagedorn temperature is approached from below, suggesting a possible phase transition.

16 pp, no figures. v2 free energy and specific heat corrected. v3 note added

References in corpus (5)

• Exact anomalous dimensions of {\cal N}=4 Yang-Mills operators with large R charge
• Operators with large R charge in N=4 Yang-Mills theory
• On lightcone string field theory from Super Yang-Mills and holography
• Modular Invariance of Strings on PP-Waves with RR-flux
• Hagedorn transition for strings on pp-waves and tori with chemical potentials

Cited by in corpus (33)

• Regge Trajectories Revisited in the Gauge/String Correspondence
• Quantum Mechanical Sectors in Thermal N=4 Super Yang-Mills on RxS^3
• Matching the Hagedorn temperature in AdS/CFT
• On the Hagedorn Behaviour of PP-wave Strings and N=4 SYM Theory at Finite R-Charge Density
• Hagedorn vs. Hawking-Page transition in string theory
• Fuzzy Spheres in pp Wave Matrix String Theory
• The superstring Hagedorn temperature in a pp-wave background
• The Hagedorn temperature of AdS5/CFT4 via integrability
• Thermodynamic behavior of IIA string theory on a pp-wave
• The Hagedorn temperature of AdS5/CFT4 at finite coupling via the Quantum Spectral Curve
• On zero-point energy, stability and Hagedorn behavior of Type IIB strings on pp-waves
• Strings at Finite Temperature: Wilson Lines, Free Energies, and the Thermal Landscape
• On the Universality Class of Certain String Theory Hadrons
• Magnetic Heisenberg-chain/pp-wave correspondence
• Superstring in a pp-wave background at finite temperature - TFD approach
• Thermal Partition Function of Superstring on Compactified PP-Wave
• Probing Universality in the Gravity Duals of N=1 SYM by gamma-deformations
• On Horizons and Plane Waves
• Hadronic Density of States from String Theory
• DLCQ String Spectrum from $\mathcal{N}=2$ SYM Theory
• Matrix Model Thermodynamics
• On the Hagedorn Behaviour of Singular Scale-Invariant Plane Waves
• PP-Wave Light-Cone Free String Field Theory at Finite Temperature
• On the Hagedorn Temperature in Holographic Confining Gauge Theories
• Correspondence Principle for Black Holes in Plane Waves
• Thermal D-brane boundary states from type IIB Green-Schwarz superstring in pp-wave background
• Nonequilibrium dynamics of strings in time-dependent plane wave backgrounds
• On type 0 string theory in solvable RR backgrounds
• A note on the universality of the Hagedorn behavior of pp-wave strings
• On the asymptotic density of states in solvable models of strings
• The Hagedorn temperature in a decoupled sector of AdS/CFT
• Unruh Duality and Maximum Acceleration in String Theory
• On the Hagedorn behavior of the superstring propating in a cosmological time dependent background